What is 10/9 of 5?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/9 of 5? We'll show you a straightforward method to achieve that.

How to calculate 10/9 of 5?

  1. Multiply the whole number by the numerator of the fraction: 5 × 10 = 50
  2. Divide this result by denominator of the fraction: 50/9 = 5.5555555555556

Since 50/9 is an improper fraction, the result could also be expressed as a mixed number: 5 5/9

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 5, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 5 (where x represents 10/9 of 5)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 5 = 9 x
  2. Which gives: 50 = 9 x
  3. Divide both sides by 9 to isolate x: 50 9 = 9 x 9
  4. Which gives the result: 50 9 = x

Thus, 10/9 of 5 is equal to 50/9 (or 5.5555555555556 in its decimal form).